Solution:
<u>Note that:</u>
- Given equation: 4(k + 1) = k + 10
- To find: 3k
<u>Simplifying the LHS:</u>
- 4(k + 1) = k + 10
- => (4 x k) + (4 x 1) = k + 10
- => 4k + 4 = k + 10
<u>Subtracting k and 4 both sides:</u>
- 4k + 4 - k - 4 = k + 10 - k - 4
- => 3k = 6 (No further solution required)
The value of 3k is 6.
Answer:
There are two answers, firstly 1*125. Then, factoring 125 as a product of primes, you get 5^3. The only two numbers you can get out of 5^3 other than 125 are 5^1 = 5 and 5^2 = 25. So there's your other answer: 5*25.
I depends if it is asking for miles to hours or hours to miles but, doing i would do hours to miles so it would be 270:6 which simplifies to 45:1
Your proof is correct and very well done